Question # 1

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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If f (x) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

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What is range of the function g (x) =|x-3|?

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[0 ,∞ )

(0 ,∞)

(-∞ ,3]

[0,∞)

If f(x) = x²then f(-2) is

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-2

2

4

-4

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0

1

8

∞

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0

-4

none of these

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A function from X to X is denoted as

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f : X to Y

f : Y to Y

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-1

1

2

-2

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f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

In natural logarithm the base is

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1

0

10

e

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0

1

none of these

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

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π

2π

π/2

None of these

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

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Periodic

Surjective

Bijective

Injective

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

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0

3

9

-3

If y=f(x) is a function then y is called

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dependent variable

independent variable

constant

none of these

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

If f(x) = cos x then f(0) is

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0

1

1/2

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0

1

2

1/2

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

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0

1

-1

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Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test MCQs With Answers

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